Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066bf |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
16885440 |
Modular degree for the optimal curve |
Δ |
-7.1335738220918E+21 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-62068163,-188262827458] |
[a1,a2,a3,a4,a6] |
j |
-123364128986392126921/33278648352768 |
j-invariant |
L |
2.0976832585334 |
L(r)(E,1)/r! |
Ω |
0.026893375066035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66066cq1 |
Quadratic twists by: -11 |